Question

Write the slope intercept form of the equation (3,-4) and (-2,-4)

Answer 1

y = x + (-4)

Step-by-step explanation:

slope intercept form=y=mx +b

slope of (3,-4) and (-2,-4) is 0

so the answer is y = x + (-4)

Answer 2

We know that a line is defined by two points. In this case, we need to find the line equation in the following form:

`y=mx+b`

We need to find the slope, m, and the y-intercept, b. To achieve this, we can use the two-point form of the line:

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

Now, we need to label those two points as follows:

• (3, -4) ---> x1 = 3, y1 = -4.

,

• (-2, -4) ---> x2 = -2, y2 = -4.

And we can substitute those values into the two-point form of the line:

`y-(-4)=(-4-(-4))/(-2-3)(x-3)`

Solving the given operations:

`y+4=(-4+4)/(-5)(x-3)\Rightarrow y+4=(0)/(-5)(x-3)\Rightarrow y+4=0\cdot(x-3)`

Then

`y+4=0\Rightarrow y=-4`

If we need to write the equation in the slope-intercept form, we have that m = 0, and b = -4, then, the equation will be:

`y=0x+(-4)\Rightarrow y=0x-4`

In summary, the slope-intercept form of the equation is equal to y = 0x - 4:

`y=0x-4`

[We can notice that the line is parallel to the x-axis since the slope of the line is equal to 0, m = 0. The y-intercept (the point where the line passes through the y-axis) is equal to b = -4.]

A graph of the line is as follows: